It isn't irrational to fear radiation, but what is irrational is the level of fear, and also the fear in context with other dangers that we face that nuclear helps to solve.
I don't think that I'm out of line in suggesting that Global Climate Change is a much larger threat than even several Chernobyl incidents. The constant coverage, even to this day, about the Chernobyl incident has caused an availability heuristic in the collective psyche of man, and exacerbates the largest issues that we actually face.